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Finding the Fourth Proportional to 75,879.69, 104,714.25 and 41,888.43

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Solution

The fourth proportional to 75,879.69, 104,714.25 and 41,888.43 is: 57,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.69 : 104,714.25 = 41,888.43 : x
  2. Step 2: Convert to fraction form
    75,879.69/104,714.25 = 41,888.43/x
  3. Step 3: Cross multiply
    75,879.69x = 104,714.25 × 41,888.43
  4. Step 4: Simplify right side
    75,879.69x = 4,386,315,531.13
  5. Step 5: Solve for x
    x = 4,386,315,531.13/75,879.69
  6. Step 6: Final answer
    x = 57,806.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.